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Tanzania [10]
3 years ago
13

What is the volume of the given prism? round the answer to the nearest tenth. please explain :(

Mathematics
2 answers:
sveticcg [70]3 years ago
4 0
The equation to finding the area of a triangular prism is 1/4*height\sqrt{x}-a^4 + 2 * (a*b)^2 + 2(a*c) - b^4 + 2(b*c)^2 - c^4. (I know that's really confusing)

The A, B, and C values all stand for the base side lengths of the 2 triangles. The h is height. Plug in these values to the equation, and your answer is 3436.4 yards cubed. I hope this helped.
My name is Ann [436]3 years ago
4 0

Answer:

Option C. 6872.8 yd³

Step-by-step explanation:

Since volume of the triangular prism = Area of square base × height of prism

Area of square base = length × width = 16×31 = 496 yd²

Height of the prism (By Pythagoras theorem) = Height of the isosceles triangle = \sqrt{(16^{2}-8^{2})}= \sqrt{256-64}

= \sqrt{192}

= 8\sqrt{3} yd

Now we put these values in the formula of volume

Volume = 496×8√3 = 496×(13.86) = 6872.8 yd³

Answer is option C. 6872.8 yd³

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Determine the volume of the parallelepiped with one vertex at the origin and the three vertices adjacent to it at (2, â1, â1), (
valentinak56 [21]

Answer:

23

Step-by-step explanation:

Here is the complete question

Find the volume of the parallelepiped with one vertex at the origin and adjacent vertices at (1, 0, -3), (1, 2, 4), and (5, 1, 0).

Solution

We find the volume of the parallelepiped by making a 3 × 3 column matrix whose columns are the corresponding coordinates of the vertices of the parallelepiped.

So, (1, 0, -3), (1, 2, 4)  and (5, 1, 0)

A = \left[\begin{array}{ccc}1&1&5\\0&2&1\\-3&4&0\end{array}\right]

The determinant of A is the volume of the parallelepiped. So,

detA = 1(2 × 0 - 4 × 1) - 1(0 × 0 - (-3) × 1) + 5(0 × 4 - (-3) × 2)

= 1(0 - 4) - 1(0 + 3) + 5(0 + 6)

= 1(-4) - 1(3) + 5(6)

= -4 - 3 + 30

= 23

So the volume of the parallelepiped is 23

4 0
2 years ago
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forsale [732]
The answer to number eight is
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3.2 - 11(2y + 1) + 4
Mekhanik [1.2K]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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